Some Properties of Weighted Pseudo almost Periodic Functions
Several interesting and new properties of weighted pseudo almost periodic functions are established. Firstly, we obtain an equivalent definition for weighted pseudo almost periodic functions, which shows a close relationship between asymptotically almost periodic functions and weighted pseudo almost...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/327213 |
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| author | Zhe-Ming Zheng Hui-Sheng Ding Gaston M. N’Guérékata |
| author_facet | Zhe-Ming Zheng Hui-Sheng Ding Gaston M. N’Guérékata |
| author_sort | Zhe-Ming Zheng |
| collection | DOAJ |
| description | Several interesting and new properties of weighted pseudo almost periodic functions are established. Firstly, we obtain an equivalent definition for weighted pseudo almost periodic functions, which shows a close relationship between asymptotically almost periodic functions and weighted pseudo almost periodic functions; secondly, we prove that the space of asymptotically almost periodic functions is always a proper subspace of the space of weighted pseudo almost periodic functions; thirdly, we show that under some cases, the space of weighted pseudo almost periodic functions equals the classical space of pseudo almost periodic functions. |
| format | Article |
| id | doaj-art-04dcd892ddd7452dafdf3c9df0ec19ac |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-04dcd892ddd7452dafdf3c9df0ec19ac2025-02-03T05:53:57ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/327213327213Some Properties of Weighted Pseudo almost Periodic FunctionsZhe-Ming Zheng0Hui-Sheng Ding1Gaston M. N’Guérékata2College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, ChinaCollege of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, ChinaDepartment of Mathematics, Morgan State University, 1700 E Cold Spring Lane, Baltimore, MD 21251, USASeveral interesting and new properties of weighted pseudo almost periodic functions are established. Firstly, we obtain an equivalent definition for weighted pseudo almost periodic functions, which shows a close relationship between asymptotically almost periodic functions and weighted pseudo almost periodic functions; secondly, we prove that the space of asymptotically almost periodic functions is always a proper subspace of the space of weighted pseudo almost periodic functions; thirdly, we show that under some cases, the space of weighted pseudo almost periodic functions equals the classical space of pseudo almost periodic functions.http://dx.doi.org/10.1155/2013/327213 |
| spellingShingle | Zhe-Ming Zheng Hui-Sheng Ding Gaston M. N’Guérékata Some Properties of Weighted Pseudo almost Periodic Functions Abstract and Applied Analysis |
| title | Some Properties of Weighted Pseudo almost Periodic Functions |
| title_full | Some Properties of Weighted Pseudo almost Periodic Functions |
| title_fullStr | Some Properties of Weighted Pseudo almost Periodic Functions |
| title_full_unstemmed | Some Properties of Weighted Pseudo almost Periodic Functions |
| title_short | Some Properties of Weighted Pseudo almost Periodic Functions |
| title_sort | some properties of weighted pseudo almost periodic functions |
| url | http://dx.doi.org/10.1155/2013/327213 |
| work_keys_str_mv | AT zhemingzheng somepropertiesofweightedpseudoalmostperiodicfunctions AT huishengding somepropertiesofweightedpseudoalmostperiodicfunctions AT gastonmnguerekata somepropertiesofweightedpseudoalmostperiodicfunctions |